Evaluate
\left(3x-1\right)\left(x+3\right)\left(2x+1\right)
Expand
6x^{3}+19x^{2}+2x-3
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\left(2x^{2}+6x+x+3\right)\left(3x-1\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of x+3.
\left(2x^{2}+7x+3\right)\left(3x-1\right)
Combine 6x and x to get 7x.
6x^{3}-2x^{2}+21x^{2}-7x+9x-3
Apply the distributive property by multiplying each term of 2x^{2}+7x+3 by each term of 3x-1.
6x^{3}+19x^{2}-7x+9x-3
Combine -2x^{2} and 21x^{2} to get 19x^{2}.
6x^{3}+19x^{2}+2x-3
Combine -7x and 9x to get 2x.
\left(2x^{2}+6x+x+3\right)\left(3x-1\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of x+3.
\left(2x^{2}+7x+3\right)\left(3x-1\right)
Combine 6x and x to get 7x.
6x^{3}-2x^{2}+21x^{2}-7x+9x-3
Apply the distributive property by multiplying each term of 2x^{2}+7x+3 by each term of 3x-1.
6x^{3}+19x^{2}-7x+9x-3
Combine -2x^{2} and 21x^{2} to get 19x^{2}.
6x^{3}+19x^{2}+2x-3
Combine -7x and 9x to get 2x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}